modelExponentialChange

Information

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ExponentialChange will fill (or drain) the connected stock from a source (or into a sink) with infinite capacity at a rate that is determined at any time as the product of the current amount in the connected stock and the fractional rate given by the real input u. By convention, a positive rate will fill the stock, while a negative rate will drain it.

Notes

• By default it is assumed, that the rate given is a continously compounding rate (isCCR = true). If this is not case, the rate will be converted using the →ForceOfInterest converter.


• Care has to be taken in case an →InformationLevel with a negative level is connected to the ExponentialChange, as the sign of the effective rate is affected by this.

• Exponential change processes have a constant doubling time (or a constant half-life) which can be found by dividing log(2) ≈ 0.69 by the continuously compounding fractional rate (or by log(1+rate) if the rate is not a continuously compounding rate).

See also

ExponentialGrowth, ExponentialDecline, ExponentialDecay

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Components